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Finding the Fourth Proportional to 338,150.47, 507,303.47 and 101,497.63

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Solution

The fourth proportional to 338,150.47, 507,303.47 and 101,497.63 is: 152,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,150.47 : 507,303.47 = 101,497.63 : x
  2. Step 2: Convert to fraction form
    338,150.47/507,303.47 = 101,497.63/x
  3. Step 3: Cross multiply
    338,150.47x = 507,303.47 × 101,497.63
  4. Step 4: Simplify right side
    338,150.47x = 51,490,098,120.03
  5. Step 5: Solve for x
    x = 51,490,098,120.03/338,150.47
  6. Step 6: Final answer
    x = 152,269.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.